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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 823 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 2(p + 7) = 44. What is p?
  2. 2.Solve: 3t − 6 = 21. What is t?
  3. 3.Solve: 9t + 29 = 56. What is t?
  4. 4.Solve: 9m − 107 = 1. What is m?
  5. 5.Solve: 3p + 5 = 11. What is p?
  6. 6.Kavya thinks of a number, multiplies it by 7 and then adds 30. The result is 58. What is the number?
  7. 7.Solve: 9n − 27 = 18. What is n?
  8. 8.Solve: 8n + 12 = 20. What is n?
  9. 9.Solve: 2(t + 2) = 22. What is t?
  10. 10.Solve: 9x + 12 = 120. What is x?
  11. 11.Meera is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  12. 12.Arjun thinks of a number, multiplies it by 7 and then adds 22. The result is 29. What is the number?
  13. 13.Solve: 3(n + 2) = 27. What is n?
  14. 14.Solve: 4n − 39 = 5. What is n?
  15. 15.Solve: 6t − 23 = 7. What is t?
  16. 16.Riya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Solve: 3x − 3 = 6. What is x?
  18. 18.Solve: 4t − 10 = 26. What is t?
  19. 19.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 15 years. How old is Vivaan?
  20. 20.Sneha’s mother is twice as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  21. 21.Solve: 8(x + 7) = 152. What is x?
  22. 22.Solve: 6(p + 2) = 42. What is p?
  23. 23.Solve: 9p + 16 = 52. What is p?
  24. 24.Ananya thinks of a number, multiplies it by 4 and then adds 4. The result is 8. What is the number?
  25. 25.Solve: 3(y + 2) = 36. What is y?
  26. 26.Aarav’s mother is twice as old as Aarav. Their ages add up to 42 years. How old is Aarav?
  27. 27.Kavya’s mother is three times as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  28. 28.Solve: n/9 + 20 = 29. What is n?
  29. 29.Solve: 4m − 4 = 8. What is m?
  30. 30.Solve: m/3 + 17 = 23. What is m?
  31. 31.Solve: 6m + 20 = 26. What is m?
  32. 32.Solve: m/7 + 5 = 10. What is m?
  33. 33.Solve: 4t − 42 = 18. What is t?
  34. 34.Solve: y/4 + 4 = 9. What is y?
  35. 35.Solve: n/2 + 5 = 12. What is n?
  36. 36.Rahul’s mother is three times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  37. 37.Solve: 6(m + 8) = 138. What is m?
  38. 38.Solve: 3y − 18 = 24. What is y?
  39. 39.Solve: 6(n + 1) = 18. What is n?
  40. 40.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 40 years. How old is Saanvi?

Answer key

  1. 15
  2. 9
  3. 3
  4. 12
  5. 2
  6. 4
  7. 5
  8. 1
  9. 9
  10. 12
  11. 13
  12. 1
  13. 7
  14. 11
  15. 5
  16. 4
  17. 3
  18. 9
  19. 5
  20. 10
  21. 12
  22. 5
  23. 4
  24. 1
  25. 10
  26. 14
  27. 6
  28. 81
  29. 3
  30. 18
  31. 1
  32. 35
  33. 15
  34. 20
  35. 14
  36. 15
  37. 15
  38. 14
  39. 2
  40. 10

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